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Finding the Third Proportional to 47,148 and 102,477

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Solution

The third proportional to 47,148 and 102,477 is: 222,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148 : 102,477 = 102,477 : x
  2. Step 2: Convert to fraction form
    47,148/102,477 = 102,477/x
  3. Step 3: Cross multiply
    47,148x = 102,477 × 102,477
  4. Step 4: Simplify right side
    47,148x = 10,501,535,529
  5. Step 5: Solve for x
    x = 10,501,535,529/47,148
  6. Step 6: Final answer
    x = 222,735.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.